The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  1  4 10  1 10  1  8  1 10  6  1  4  1  1  1  0  0  1  1  4  1  1  8  1  1  8  1
 0  1  0  0  4  9 13  1  1 14  2  1  6  1  9  8  0  1  6 12  1 15  1  6  9  5  1 14 13 12  2 12  9  1  0  5  1  0
 0  0  1  0  5  1  4  5  8  2 13 10  1 15  3  1  6  7  6  1  2  9  1 15  5 15 10  1 14 10  2  2  0  9  4 12  6  0
 0  0  0  1  1  4  5  5 11  5  2 14 15  0  9 11  3 10  2 10  7  1  5 11 11  4 12 13 15  0  1  6 14  7 13  8 14  0

generates a code of length 38 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+177x^32+1186x^33+2386x^34+4868x^35+7978x^36+10636x^37+11298x^38+10620x^39+7842x^40+4776x^41+2294x^42+1084x^43+254x^44+100x^45+22x^46+4x^47+4x^48+6x^49

The gray image is a code over GF(2) with n=304, k=16 and d=128.
This code was found by Heurico 1.16 in 20.3 seconds.